Pith Number

pith:4IBPZEWY

pith:2015:4IBPZEWYO66URHMEADZMGLSFPL

not attested not anchored not stored refs pending

The braided monoidal structure on the category of Hom-type Doi-Hopf modules

Daowei Lu

arxiv:1512.08587 v1 · 2015-12-29 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IBPZEWYO66URHMEADZMGLSFPL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:37.280582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e202fc92d877bd489d8400f2c32e457af5c216f075dd09cb69db45b3ad85c532

Aliases

arxiv: 1512.08587 · arxiv_version: 1512.08587v1 · doi: 10.48550/arxiv.1512.08587 · pith_short_12: 4IBPZEWYO66U · pith_short_16: 4IBPZEWYO66URHME · pith_short_8: 4IBPZEWY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4IBPZEWYO66URHMEADZMGLSFPL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e202fc92d877bd489d8400f2c32e457af5c216f075dd09cb69db45b3ad85c532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8abf04067c6167a76db242d55e9881a22186ebcd59e836ddbf5cffdb8706bd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-29T02:48:12Z",
    "title_canon_sha256": "32e5ab441bd7646b3a0d1800a23b8bf3d8cbaafa11f7dbda8e58d6b723fa27de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08587",
    "kind": "arxiv",
    "version": 1
  }
}